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Angles x, w and v are shown in the above rectangle.

Quantity A

x+90

Quantity B

v+w




Quantity A: x-y

Quantity B: 20


Quantity A: ∠x

Quantity B:∠y


Quantity A

y

Quantity B

115




AB∥DE

Quantity A

a+b+c

Quantity B

360°


If the measure of each interior angle of a regular polygon with n sides is between 110° and 130°, then n could be?

Indicate all such values.
ABCD and EFGH are both rectangles.



Quantity A

The sum of ∠AIH and ∠CJG

Quantity B

300°




AC is one of the diagonals of the regular octagon as shown above. If each side of the octagon is 1, what is the length of AC?


ABCDE is a regular pentagon.

Quantity A

x

Quantity B

36




A thin metal plate in the shape of a parallelogram has an area of 80 square inches and is cut into two pieces using two cuts. Each cut is parallel to a side of the plate, as shown, and the ratio of the length of each cut to the length of the side of the plate to which the cut is parallel is 3 to 4. What is the area, in square inches, of the piece of the plate represented by the shaded region?
If the degree measures of the three angles of a triangle are consecutive even integers, what is the measure of the smallest angle of the triangle?

_____degrees


$$AB < AD$$

Quantity A

$$x$$

Quantity B

$$y$$




x > y > 0

Quantity A

The area of the left triangle

Quantity B

The area of the right triangle




∠2 > ∠1 > ∠3 > ∠4

Quantity A

The length of BC

Quantity B

The length of AD




b=2a, c=3b

The exterior angle of which of the following angle is the greatest?
The perimeter of triangle A and B is 32 and 52, respectively

Quantity A:The area of triangle A

Quantity B:The area of triangle B
There is an isosceles triangle and an equilateral triangle with the same height.

Quantity A

The area of the isosceles triangle

Quantity B

The area of the equilateral triangle


The sum of the lengths of two sides of isosceles triangle T is 10, and T has a side of length 5.

Quantity A

The perimeter of T

Quantity B

15




AB=AC=AD,∠BAD=60°. What is the angle of ∠BCD?


In the figure shown, AB=BD=DC and the degree measure of angle ABD is 80.

Quantity A

The degree measure of angle DBC

Quantity B

30


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